1158140160 has 576 divisors, whose sum is σ = 4521000960. Its totient is φ = 279797760.

The previous prime is 1158140119. The next prime is 1158140167. The reversal of 1158140160 is 610418511.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1158140167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24641257 + ... + 24641303.

It is an arithmetic number, because the mean of its divisors is an integer number (7848960).

Almost surely, 2^1158140160 is an apocalyptic number.

1158140160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1158140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260500480).

1158140160 is an abundant number, since it is smaller than the sum of its proper divisors (3362860800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1158140160 is a wasteful number, since it uses less digits than its factorization.

1158140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1158140160 is about 34031.4583877917. The cubic root of 1158140160 is about 1050.1557320033.

Adding to 1158140160 its reverse (610418511), we get a palindrome (1768558671).

The spelling of 1158140160 in words is "one billion, one hundred fifty-eight million, one hundred forty thousand, one hundred sixty".